From 482c2342b3cbf8d3a9f3698f09c1e9999f197f5d Mon Sep 17 00:00:00 2001 From: Pierre Martinon Date: Thu, 18 Apr 2024 17:09:58 +0200 Subject: [PATCH] first version for tutorial.md; todo: update docstrings for api.md --- docs/make.jl | 11 ++--- docs/src/assets/goddard.png | Bin 461891 -> 139454 bytes docs/src/optimization.md | 2 - docs/src/rk.md | 2 - docs/src/solve-options.md | 4 -- docs/src/tutorial.md | 83 ++++++++++++++++++++++++++---------- test/suite/initial_guess.jl | 14 +++--- test/test_initial_guess.jl | 14 +++--- 8 files changed, 79 insertions(+), 51 deletions(-) delete mode 100644 docs/src/optimization.md delete mode 100644 docs/src/rk.md delete mode 100644 docs/src/solve-options.md diff --git a/docs/make.jl b/docs/make.jl index 7f9d8d2d..1fac0fec 100644 --- a/docs/make.jl +++ b/docs/make.jl @@ -2,8 +2,8 @@ using Documenter using CTDirect using CTBase -#DocMeta.setdocmeta!(CTBase, :DocTestSetup, :(using CTBase); recursive = true) -#DocMeta.setdocmeta!(CTDirect, :DocTestSetup, :(using CTDirect); recursive = true) +DocMeta.setdocmeta!(CTBase, :DocTestSetup, :(using CTBase); recursive = true) +DocMeta.setdocmeta!(CTDirect, :DocTestSetup, :(using CTDirect); recursive = true) makedocs( warnonly = [:cross_references, :autodocs_block], @@ -11,12 +11,9 @@ makedocs( format = Documenter.HTML(prettyurls = false, size_threshold_ignore = ["api-ctbase.md"]), pages = [ - #"Introduction" => "index.md", - #"Methods and Options" => ["rk.md", - # "optimization.md", - # "solve-options.md"], - #"API" => "api.md", + "Introduction" => "index.md", "Tutorial" => "tutorial.md", + "API" => "api.md", #"Developers" => "dev-api.md", ] ) diff --git a/docs/src/assets/goddard.png b/docs/src/assets/goddard.png index 3130fb2ef76f0c07e4ea6b9c64be0249ae220084..76e5054e94181132709e3675e79f501ec94c571f 100644 GIT binary patch literal 139454 zcmeFZWl)^mvNk+}ySrs@cON9k00RMnOVGjHJ;7~o4^D6o8iFMO27(3+?(V@gkmTig z_CDwAUEllXRDJKiJylb6-)nVW-FKwFVC)i{-O;E{IiGK^&2m(ez?n| z^7P%a+O=T5i(B90VB`J0@Kn80=Dc^<3GcAW?tXzDjm?8vcaHXdthvHgPEX(61}{x` zJ3hiB@B-^=Pi=#LONjcMl1Q_D_0xtHJlFndC^L0>JhdJ7?H#?hDTUU~(cNzx_TRM; 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Goddard](./assets/goddard.png) We start with the well-known so-called [Goddard](http://en.wikipedia.org/wiki/Robert_H._Goddard) problem, which models the ascent of a rocket through the atmosphere (see for instance [^1],[^2]). +We restrict here ourselves to vertical (monodimensional) trajectories, and the state variables are the altitude, speed and mass of the rocket during the flight, for a total dimension of 3. The rocket is subject to gravity, thrust and drag forces. The final time is free, and the objective is here to reach a maximal altitude with a given fuel consumption, i.e a fixed final mass. We also impose a speed limit. All units are renormalized. [^1]: R.H. Goddard. A Method of Reaching Extreme Altitudes, volume 71(2) of Smithsonian Miscellaneous Collections. Smithsonian institution, City of Washington, 1919. [^2]: H. Seywald and E.M. Cliff. Goddard problem in presence of a dynamic pressure limit. Journal of Guidance, Control, and Dynamics, 16(4):776–781, 1993. -```@raw html -[1+t^2, sqrt(t), 1-t] +u_func = t->(cos(t)+1)*0.5 +init2 = OptimalControlInit(x_init=x_func, u_init=u_func) +sol3 = solve(ocp, print_level=0, init=init2) +println("Objective ", sol3.objective, " after ", sol3.iterations, " iterations") +``` +More generally, the default, constant and functional initialisations can be mixed, as shown in the example below that uses a functional initial guess for the state, a constant initial guess for the control, and the default initial guess for the optimization variables. +```@example main +init3 = OptimalControlInit(x_init=x_func, u_init=u_const) +sol4 = solve(ocp, print_level=0, init=init3) +println("Objective ", sol4.objective, " after ", sol4.iterations, " iterations") +``` -We can also use a so-called *warmstart* strategy and use an existing solution as initial guess (note that the OCP solution returned by the **solve** call is functional, thus it is not necessary to use the same time grid). +Finally, we can also use a so-called *warmstart* strategy and use an existing solution as initial guess (note that the OCP solution returned by the **solve** call is functional, thus it is not necessary to use the same time grid). Notice that the objective and constraint violation values start much closer to the solution than with the previous initialisations. ```@example main -sol4 = solve(ocp1, grid_size=200, print_level=5, init=OptimalControlInit(sol1)) +init4 = OptimalControlInit(sol1) +sol4 = solve(ocp, grid_size=200, print_level=5, init=init4) nothing # hide ``` ```@example main plot(sol4) ``` -## Working explicitely on the discretized problem -+++ variantes appel: transcription puis solve docp, avec init changee dans le docp (ex: mixed) et passee au solve (ex: warmstart) +## The discretized problem +Instead of calling **solve** directly on the OCP problem, you can first obtain the discretized problem (DOCP) by calling **directTranscription**, then call **solve** on the DOCP. +```@example main +docp = directTranscription(ocp, grid_size=100) +sol5 = solve(docp, print_level=5) +nothing # hide +``` +The initial guess can be passed to **solve** same as before. +```@example main +sol6 = solve(docp, print_level=0, init=OptimalControlInit(sol1)) +println("Objective ", sol6.objective, " after ", sol6.iterations, " iterations") +``` +Another possibility is to set the initial guess associated to the DOCP, using the function **setDOCPInit**. +```@example main +setDOCPInit(docp, OptimalControlInit(sol1)) +sol7 = solve(docp, print_level=5) +nothing # hide +``` diff --git a/test/suite/initial_guess.jl b/test/suite/initial_guess.jl index 1a117bdd..621f6d57 100644 --- a/test/suite/initial_guess.jl +++ b/test/suite/initial_guess.jl @@ -58,7 +58,7 @@ end # constant initial guess x_const = [1.05, 0.2, 0.8] u_const = 0.5 -v_init = 0.15 +v_const = 0.15 @testset verbose = true showtiming = true ":constant_init_x" begin sol = solve(ocp, print_level=0, init=OptimalControlInit(x_init=x_const)) @@ -69,7 +69,7 @@ end @test sol.objective ≈ 1.0125 rtol=1e-2 end @testset verbose = true showtiming = true ":constant_init_v" begin - sol = solve(ocp, print_level=0, init=OptimalControlInit(v_init=v_init)) + sol = solve(ocp, print_level=0, init=OptimalControlInit(v_init=v_const)) @test sol.objective ≈ 1.0125 rtol=1e-2 end @testset verbose = true showtiming = true ":constant_init_xu" begin @@ -77,15 +77,15 @@ end @test sol.objective ≈ 1.0125 rtol=1e-2 end @testset verbose = true showtiming = true ":constant_init_xv" begin - sol = solve(ocp, print_level=0, init=OptimalControlInit(x_init=x_const, v_init=v_init)) + sol = solve(ocp, print_level=0, init=OptimalControlInit(x_init=x_const, v_init=v_const)) @test sol.objective ≈ 1.0125 rtol=1e-2 end @testset verbose = true showtiming = true ":constant_init_uv" begin - sol = solve(ocp, print_level=0, init=OptimalControlInit(u_init=u_const, v_init=v_init)) + sol = solve(ocp, print_level=0, init=OptimalControlInit(u_init=u_const, v_init=v_const)) @test sol.objective ≈ 1.0125 rtol=1e-2 end @testset verbose = true showtiming = true ":constant_init_xuv" begin - sol = solve(ocp, print_level=0, init=OptimalControlInit(x_init=x_const, u_init=u_const, v_init=v_init)) + sol = solve(ocp, print_level=0, init=OptimalControlInit(x_init=x_const, u_init=u_const, v_init=v_const)) @test sol.objective ≈ 1.0125 rtol=1e-2 end @@ -119,7 +119,7 @@ end # set initial guess in DOCP docp = directTranscription(ocp) @testset verbose = true showtiming = true ":DOCPInit_constant" begin - setDOCPInit(docp, OptimalControlInit(x_init=x_const, u_init=u_const, v_init=v_init)) + setDOCPInit(docp, OptimalControlInit(x_init=x_const, u_init=u_const, v_init=v_const)) sol = solve(docp, print_level=0) @test sol.objective ≈ 1.0125 rtol=1e-2 end @@ -137,7 +137,7 @@ end # pass initial guess to solve setDOCPInit(docp, OptimalControlInit()) # reset init in docp @testset verbose = true showtiming = true ":solve_constant_init" begin - sol = solve(docp, init=OptimalControlInit(x_init=x_const, u_init=u_const, v_init=v_init), print_level=0) + sol = solve(docp, init=OptimalControlInit(x_init=x_const, u_init=u_const, v_init=v_const), print_level=0) @test sol.objective ≈ 1.0125 rtol=1e-2 end @testset verbose = true showtiming = true ":solve_mixed_init" begin diff --git a/test/test_initial_guess.jl b/test/test_initial_guess.jl index e50c46d4..790ece4a 100644 --- a/test/test_initial_guess.jl +++ b/test/test_initial_guess.jl @@ -82,7 +82,7 @@ sol = solve(ocp, print_level=0, max_iter=maxiter) # constant initial guess x_const = [1.05, 0.2, 0.8] u_const = 0.5 -v_init = 0.15 +v_const = 0.15 # Constant initial guess (vector for x; default for u,v) sol = solve(ocp, print_level=0, init=OptimalControlInit(x_init=x_const), max_iter=maxiter) @@ -93,7 +93,7 @@ sol = solve(ocp, print_level=0, init=OptimalControlInit(u_init=u_const), max_ite @printf("%-56s %.3f at %d iterations\n", "Constant initial guess (vector for u; default for x,v):", sol.objective, sol.iterations) # Constant initial guess (vector for v; default for x,u) -sol = solve(ocp, print_level=0, init=OptimalControlInit(v_init=v_init), max_iter=maxiter) +sol = solve(ocp, print_level=0, init=OptimalControlInit(v_init=v_const), max_iter=maxiter) @printf("%-56s %.3f at %d iterations\n", "Constant initial guess (vector for v; default for x,u):", sol.objective, sol.iterations) # Constant initial guess (vector for x,u; default for v) @@ -101,15 +101,15 @@ sol = solve(ocp, print_level=0, init=OptimalControlInit(x_init=x_const, u_init=u @printf("%-56s %.3f at %d iterations\n", "Constant initial guess (vector for x,u; default for v):", sol.objective, sol.iterations) # Constant initial guess (vector for x,v; default for u) -sol = solve(ocp, print_level=0, init=OptimalControlInit(x_init=x_const, v_init=v_init), max_iter=maxiter) +sol = solve(ocp, print_level=0, init=OptimalControlInit(x_init=x_const, v_init=v_const), max_iter=maxiter) @printf("%-56s %.3f at %d iterations\n", "Constant initial guess (vector for x,v; default for u):", sol.objective, sol.iterations) # Constant initial guess (vector for u,v; default for x) -sol = solve(ocp, print_level=0, init=OptimalControlInit(u_init=u_const, v_init=v_init), max_iter=maxiter) +sol = solve(ocp, print_level=0, init=OptimalControlInit(u_init=u_const, v_init=v_const), max_iter=maxiter) @printf("%-56s %.3f at %d iterations\n", "Constant initial guess (vector for u,v; default for x):", sol.objective, sol.iterations) # Constant initial guess (vector for x,u,v) -sol = solve(ocp, print_level=0, init=OptimalControlInit(x_init=x_const, u_init=u_const, v_init=v_init), max_iter=maxiter) +sol = solve(ocp, print_level=0, init=OptimalControlInit(x_init=x_const, u_init=u_const, v_init=v_const), max_iter=maxiter) @printf("%-56s %.3f at %d iterations\n", "Constant initial guess (vector for x,u,v):", sol.objective, sol.iterations) # functional initial guess @@ -141,7 +141,7 @@ sol = solve(ocp, print_level=0, init=init_function_u = OptimalControlInit(sol0), println("\nSetting the initial guess at the DOCP level") docp = directTranscription(ocp) # constant vector init -setDOCPInit(docp, OptimalControlInit(x_init=x_const, u_init=u_const, v_init=v_init)) +setDOCPInit(docp, OptimalControlInit(x_init=x_const, u_init=u_const, v_init=v_const)) sol = solve(docp, print_level=0, max_iter=maxiter) @printf("%-56s %.3f at %d iterations\n", "Constant initial guess set in DOCP", sol.objective, sol.iterations) # mixed init @@ -158,7 +158,7 @@ sol = solve(docp, print_level=0, max_iter=maxiter) println("\nPassing the initial guess to solve call") setDOCPInit(docp, OptimalControlInit()) # reset init in docp # constant vector init -sol = solve(docp, init=OptimalControlInit(x_init=x_const, u_init=u_const, v_init=v_init), print_level=0, max_iter=maxiter) +sol = solve(docp, init=OptimalControlInit(x_init=x_const, u_init=u_const, v_init=v_const), print_level=0, max_iter=maxiter) @printf("%-56s %.3f at %d iterations\n", "constant initial guess passed to solve", sol.objective, sol.iterations) # mixed init sol = solve(docp, init=OptimalControlInit(x_init=x_func, u_init=u_const), print_level=0, max_iter=maxiter)